Ten questions. The result tells you which lessons you may skip.
Which property makes a substance a fluid?
Equal volumes of two liquids of densities \(800\,\text{kg/m}^3\) and \(1200\,\text{kg/m}^3\) are mixed. Assume the volumes add. The density of the mixture is
Take \(g = 10\,\text{m/s}^2\) and atmospheric pressure \(10^5\,\text{Pa}\). The absolute pressure \(20\,\text{m}\) below the surface of a lake is
Three vessels with equal bases, one straight, one widening upward and one narrowing, are filled with water to the same depth. The force of the water on the bases is
A tyre gauge reads \(2 \times 10^5\,\text{Pa}\). With atmospheric pressure \(10^5\,\text{Pa}\), the absolute pressure of the air in the tyre is
A mercury manometer is joined to a gas. The mercury in the open arm stands \(10\,\text{cm}\) higher than in the gas arm. With \(g = 10\,\text{m/s}^2\), mercury \(13600\,\text{kg/m}^3\) and atmospheric pressure \(10^5\,\text{Pa}\), the gas pressure is
The pistons of a hydraulic lift have areas \(10\,\text{cm}^2\) and \(1000\,\text{cm}^2\). A force of \(100\,\text{N}\) on the small piston can hold up a load of
A tank of water accelerates horizontally at \(5\,\text{m/s}^2\). Take \(g = 10\,\text{m/s}^2\). The free surface makes an angle \(\theta\) with the horizontal, where
A bucket of water is in a lift whose cable has broken, so it falls freely. The gauge pressure at the bottom of the bucket is
Water turns with a cylindrical vessel at angular speed \(\omega\). If \(\omega\) is doubled, the height of the rim of the surface above its centre becomes